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Finding the Fourth Proportional to 541.01, 805.75 and 507.29

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Solution

The fourth proportional to 541.01, 805.75 and 507.29 is: 755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.01 : 805.75 = 507.29 : x
  2. Step 2: Convert to fraction form
    541.01/805.75 = 507.29/x
  3. Step 3: Cross multiply
    541.01x = 805.75 × 507.29
  4. Step 4: Simplify right side
    541.01x = 408,743.62
  5. Step 5: Solve for x
    x = 408,743.62/541.01
  6. Step 6: Final answer
    x = 755.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.